Question

Find the missing side or angle.

Answer 1

Answer: 286 which becomes 290 when you round it up

Step-by-step explanation:

360 is the total angles of any quadralateral Use this formula

(n - 2) x 180

(4 - 2) x 180

2 x 180 = 360 degrees

NEXT STEP:

a + b + c + A = 360

15 + 30 + 29 + x = 360

74 + x = 360

x = 360 - 74

x = 286 degrees

Answer 2

Answer:

∠ A ≈ 79.0°

Step-by-step explanation:

Using the Cosine rule to find the angle

cosA = $\frac{b^2+c^2-a^2}{2bc}$

        = $\frac{15^2+29^2-30^2}{2(15)(29)}$

        = $\frac{225+841-900}{870}$

        = $\frac{166}{870}$ , then

A = $cos^{-1}$ ($\frac{166}{870}$ ) ≈ 79.0° ( to the nearest tenth )